Algebry i Grupy Liego 2026

Marius Sophus Lie 1842 - 1899

  • USOS page
  • ** My loose notes **
  • Tutorials (Ćwiczenia)
  • For the start: problems about quaternions
  • Webb-page A.D. 2025

  • Rules of evaluations: participation in tutorials 20%, written exam 32%, oral exam 48%

    Hexagonal lattice, with the root sublattice

    Bibliography:

  • Main:
    • (!)Kirillov, Alexander, Jr. An introduction to Lie groups and Lie algebras. Cambridge Studies in Advanced Mathematics, 113. (2008)

    • (!)Fulton, William; Harris, Joe - Representation theory. A first course.

    • Carter, Roger; Segal, Graeme; Macdonald, Ian - Lectures on Lie groups and Lie algebras. London Mathematical Society Student Texts, 32. (Segal's chapter)

    • Adams, J.F. - Lectures on Lie groups.

    • Brocker, Theodor; tom Dieck, Tammo - Representations of compact Lie groups. Graduate Texts in Mathematics, 98.
    Other:
    • Knapp, Anthony W. - Representation theory of semisimple groups. An overview based on examples.

    • Wojtyńki, Wojciech - Grupy i algebry Liego. Biblioteka Matematyczna 60. PWN, Warsaw, 1986
    Internet sources:

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